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Finding the Third Proportional to 265,411,304 and 398,117,009

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Solution

The third proportional to 265,411,304 and 398,117,009 is: 597,175,593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411,304 : 398,117,009 = 398,117,009 : x
  2. Step 2: Convert to fraction form
    265,411,304/398,117,009 = 398,117,009/x
  3. Step 3: Cross multiply
    265,411,304x = 398,117,009 × 398,117,009
  4. Step 4: Simplify right side
    265,411,304x = 158,497,152,855,106,080
  5. Step 5: Solve for x
    x = 158,497,152,855,106,080/265,411,304
  6. Step 6: Final answer
    x = 597,175,593.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.